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Finding the Fourth Proportional to 518,814.16, 715,964.04 and 280,350.16

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Solution

The fourth proportional to 518,814.16, 715,964.04 and 280,350.16 is: 386,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,814.16 : 715,964.04 = 280,350.16 : x
  2. Step 2: Convert to fraction form
    518,814.16/715,964.04 = 280,350.16/x
  3. Step 3: Cross multiply
    518,814.16x = 715,964.04 × 280,350.16
  4. Step 4: Simplify right side
    518,814.16x = 200,720,633,168.25
  5. Step 5: Solve for x
    x = 200,720,633,168.25/518,814.16
  6. Step 6: Final answer
    x = 386,883.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.